506110602404601 has 48 divisors (see below), whose sum is σ = 775033674262848. Its totient is φ = 317156682470400.

The previous prime is 506110602404549. The next prime is 506110602404651. The reversal of 506110602404601 is 106404206011605.

506110602404601 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 1 + 0 + 6 + 0 + 2 + 40 + 4 + 601 = 666.

It is not a de Polignac number, because 506110602404601 - 2¹³ = 506110602396409 is a prime.

It is a super-2 number, since 2×506110602404601² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506110602404651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4676758245 + ... + 4676866461.

It is an arithmetic number, because the mean of its divisors is an integer number (16146534880476).

Almost surely, 2^{506110602404601} is an apocalyptic number.

506110602404601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

506110602404601 is a deficient number, since it is larger than the sum of its proper divisors (268923071858247).

506110602404601 is a wasteful number, since it uses less digits than its factorization.

506110602404601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146742 (or 146739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 506110602404601 in words is "five hundred six trillion, one hundred ten billion, six hundred two million, four hundred four thousand, six hundred one".